The direction cosines of a line equally inclined to all the three rectangular co-ordinate axis are
Explanation for the correct option:
Find the direction cosines :
Given that direction cosines of a line equally inclined to all the three rectangular co-ordinate axis.
Let the direction cosines of the line make an angle with each of the coordinate axes.
So, the direction cosines of each axis are given by
and
we know that ,the property of direction cosines as
By putting the required values and solving for we get
The direction cosines are
Therefore, by the given options we conclude direction cosines to be
Hence, option (B) is the correct answer.